A shopkeeper plans to produce 200 articles with the help of 5 persons working 8 hours daily. How many articles can be made by 8 persons if they work 6 hours daily
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Answer:
Instead of working with a number of men and the number of hours in a day, consider the number of 'man-hours' used.
5
men working for
6
hours a day means:
5
×
6
=
30
man-hours a day.
The entire task of reaping the field takes:
30
×
20
=
600
man-hours
The question involves inverse proportion because if there are more men working and they work for more hours each day, then the task will be completed in fewer days.
15
men working for
8
hours a day means:
15
×
8
=
120
man-hours per day
To complete the task which requires
600
man-hours:
600
÷
120
=
5
days
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